World No 1 Novak Djokovic, second seed Andy Murray and three-time champion Rafael Nadal were all cheered into the quarter-finals of the Rogers Cup on Thursday.
Serena Williams recovered from a set down to beat Australian Ashleigh Barty 3-6, 6-3, 6-4 and book a place in the third round.
Thursday's match was just Venus Williams's seventh of the year and first since January's Australian Open, where she fell to Simona Halep in the round of 32.
Summary of sports events and persons who made news on Wednesday
IMAGES from matches played on Day 7 of the French Open at the Roland Garros in Paris on Saturday
Bhambri, ranked 200th, recovered from a set down and registered what turned to be an emphatic 6-7, 6-3, 6-1 win over Pella in a match that lasted for two hours and 10 minutes.
The returning Scot also announced his withdrawal from next week's Rogers Cup in Toronto.
Roger Federer began his 63rd consecutive Grand Slam tournament with a majestic 6-1, 6-3, 6-3 first-round win over little-known Bosnian Damir Dzumhur at Wimbledon in London, on Tuesday.